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M 3/2/09
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Note:
There is a written assignment due Tuesday, even though today is a snow day.
See the calendar entry for Tuesday below.
HW due: Reread all of §10-7, review your notes from Friday, and make sure you
understand the angle-bracket notation thoroughly, as well as the terms listed
below.
magnitude (a.k.a. norm): Our book uses single bars for vector norm, but we
will use double bars.
For example, ||<3, –4>|| = 5, and
||<–1, –1>|| =  .
scalar
dot product (as defined by our textbook)
scalar projection
vector projection
normal
normalization
unit vector
Note: The terms normal and normalization are not related in the context of vectors. Normal means perpendicular, whereas normalization refers to the process of
converting a vector into a unit vector pointing in the same direction. We
perform normalization by multiplying a vector by a scalar equal to the
reciprocal of the vector’s norm.
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T 3/3/09
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HW due: Write §10-7 #2. This assignment is due
despite yesterday’s snow day. Also, be sure that you have completed the
reading/reviewing assignment that was due yesterday.
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W 3/4/09
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HW due: Read §11-2 (especially Example 2); write
§10-7 #4, 7, 9, 14, 15.
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Th 3/5/09
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HW due: Read §11-3; write §11-2 #6, 7, 8.
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F 3/6/09
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HW due: Read §11-6; write §11-3 #1, 5, 6, 9, 11, 12.
We are skipping §§11-4 and 11-5.
Note: For spherical shells (e.g.,
#11c and #12), dV would logically
have to be the volume of a spherical shell of infinitesimal thickness. Just
as we found the volume of a disk of thickness dx to be  , or the volume of a cylindrical shell of thickness dr to be  , we can find the volume of spherical shell. What is the
common thread? With both disks and shells, we are taking the exposed surface area of the very thin
component and multiplying by dx or dr to get dV. With spherical shells, you follow the same guidance. Send me
an e-mail if you have trouble figuring out how to set up dV for spherical shells. (You need the formula for surface area
of a sphere. If you have forgotten the formula from geometry class, you can
look it up.)
Additional note for #11ab: Distance
of a point from a plane was defined in geometry class, as was distance of a
point from a line. If you include these distances on your sketch (as you
should), you will see that they are straightforward to calculate.
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M 3/9/09
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HW due: Write §11-6 #3, 8, 12.
Suggested review problems in preparation for tomorrow’s test:
§10-3 #1, §10-6 #8, §10-6 #11, §10-7 #11, §11-2 #5, §11-3 #3, §11-6 #11.
All of these have answers in the back of your book, except for §10-6 #8,
which has answers as follows:
(a) decreasing at  in.3/min.
(b)  in.3 at t = 3 min.
(c)  in.3 at t = 4 min.
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T 3/10/09
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Test (100
pts.) on Chapters 10 and 11. Because
this is a difficult week for Form V students (something concerning a history
paper, I believe), there will be no additional written HW until after spring
break.
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W 3/11/09
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No additional HW is required. If you would like to
revisit some of the problems from yesterday’s test, you may do so at your
option. Everyone should have a copy of the 12 problems. I will look at what
you produce overnight and attempt to make a reasonable adjustment to your
test score. However, the adjustment will be much smaller than on the previous
occasion on which we did something similar. You need to work more quickly if
you are to do well on the AP exam.
Ground rules:
1. Try to do this with closed notes, closed friends, closed Internet. If you
do use any resources, you must describe the extent of the assistance you
received.
2. Keep a time log (start and end time, or start and end times if you worked
in multiple sittings).
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Th 3/12/09
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Class work only; no HW due.
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F 3/13/09
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JETS (class attendance optional).
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—Spring Break—
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M 3/30/09
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Classes resume.
Long-term HW: Over the break, and continuing up until the AP exam on May 6,
cuddle up with any standard AP review book (Barron’s, Amsco, Princeton
Review, etc.) and work a selection of problems each day. You can give
yourself the weekends off. To focus your attention, I have prepared an AP review grid for you to fill out. Please
keep a record of your daily studying.
The time logs and coverage of your review grid will not be graded. Only the
existence of your review grid and the fact that you have made an honest
effort to record your AP review activities will be checked for a grade.
Other HW due today: Read Chapter 12, including the green boxes embedded in
the exercises on p. 630 and p. 640. If you wish, you may work some of the
odd-numbered problems, but only your reading notes are required for today.
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T 3/31/09
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HW due: Write §12-2 #2, 7, 8, and as many of the
problems in §12-3 (#1-11 all) as time permits. We will cover the remainder in
class.
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